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For The Mathematically Inclined


Anil Saigal 10/15/2005
FOR CHILDREN
PROBLEM # 1 A carpenter enters
a hardware store and wants to buy a specific number of pounds of nails
for his business. The first store he enters sells his favorite sized
nails at 9 cents per pound. At this price, the carpenter realized that
he would be short 1215 pennies if he tried to buy the nails. The
carpenter goes to a competing hardware store and finds that the nails
sell for 6 cents a pound. He realizes that after paying for the nails,
he would have 345 pennies left over. How many pounds of nails is he
trying to buy?
FOR GROWNUPS
PROBLEM # 2 What is the limit of x tending to 0 of (1cos5x)/(1cos7x).

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If you need clarification on any problem, please contact anil@lokvani.com.
 SOLUTIONS TO PROBLEMS ON 10/06/05
FOR CHILDREN
PROBLEM # 1 The
total cost of an outing is $240. If there were forty more people, each
person attending would have paid $1 less. How many people attended the
outing? SOLUTION 80.
FOR GROWNUPS
PROBLEM # 2 Each
side of square ABCD is of length 12 cm. E is the midpoint of AB, F is
the trisection point of BC closer to B and G is on CD such that CG =
CD/4. How many square centimeters are in the area of triangle EFG? SOLUTION 30 sq. cm. Congratulations
to Sarwan Aggarwal, Sandeep Bansal, Shailesh Goregaokar, Amar Gupta,
Amit Jain, Biren Jaspal, Hemanth Javali, Dattatraya Joshi, Amol Mehta,
Shail Mehta, Kavitha and Madhavi Muralidharan, Sarthak Pani, Bipin
Parekh, Ameek Ponda, Laksh Puri and Rekha R., who were winners of the
last set of puzzles.

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